Least Common Multiple of 3519/245, 7167/3429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3519/245, 7167/3429 quickly i.e. 8406891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3519/245, 7167/3429 is 8406891.

LCM(3519/245, 7167/3429) = 8406891

LCM of 3519/245, 7167/3429

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3519/245,7167/3429

Given numbers are 3519/245,7167/3429

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3519,7167

Least Common Multiple of Numerators i.e. LCM of 3519,7167 is 8406891.

GCF of Denominators means GCF of 245,3429 as per the given fractions.

GCF of 245,3429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3519,7167

LCM of Fractions 3519/245,7167/3429 is 8406891

3 3519, 7167
1173, 2389

∴ So the LCM of the given numbers is 3 x 1173 x 2389 = 8406891

Least Common Multiple of 3519,7167 with GCF Formula

Least Common Multiple of 3519,7167 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3519,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3519,7167) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(3519,7167) x common factors =3 x 1 = 3

LCM(3519,7167) = ( 3519 × 7167 ) / 3

LCM(3519,7167) = 25220673 / 3

LCM(3519,7167) = 8406891


Lets's calculate GCF of 245,3429

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8406891/1

Therefore the LCM of Fractions 3519/245,7167/3429 is 8406891

Greatest Common Factor of 245,3429 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,3429 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Greatest Common Factor

We found the factors 245,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 245,3429 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3519/245, 7167/3429

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3519/245, 7167/3429?

Answer: LCM of Numerators as per given numbers 3519/245, 7167/3429 is

LCM of Numerators i.e. for 3519,7167 is 8406891

GCF of denominators i.e. for 245,3429 is 1.

Thus, LCM of Fractions is 8406891.Finally, LCM of Fractions for 3519/245, 7167/3429 is 8406891.